A large mainland population of butterflies with an allele frequency of for a wing-spot gene colonizes a new island. The founding group consists of 20 individuals from the mainland. Concurrently, 30 butterflies from a different island population, where the same allele has a frequency of , also arrive. Assuming these 50 butterflies form a single, randomly mating new population, what is the initial allele frequency for on the island?
- 0.50 (correct answer)
- 0.55
- 0.60
- 0.80
Explanation: The allele frequency in an admixed population is the weighted average of the frequencies from the source populations, weighted by their proportional contribution to the new population.\n1. Source population 1: , .\n2. Source population 2: , .\n3. Total size of the new population: .\n4. The new allele frequency is calculated as: .\n\nDistractor B is the unweighted, simple average of the two frequencies . Distractor C is an incorrect calculation. Distractor D is the allele frequency of the larger source population, ignoring the contribution of the smaller one.